报告时间：2026年7月5日（周日）下午 15:30-16:30
报告地点：91国产 天赐庄校区精正楼306
报告人：常浩 教授，华中师范大学
报告摘要：
We study the shuffle algebra realization of the positive subalgebra $Y_n^{>}(k)$ of the Yangian associated to $\mathfrak{sl}_n$ over an algebraically closed field $k$ of characteristic $p>2$. In contrast to the characteristic zero case, the natural homomorphism from $Y_n^{>}(k)$ to the modular shuffle algebra $W^{(n)}(k)$ is not an isomorphism. We determine its kernel and image, showing that the kernel is precisely the ideal generated by the $p$-center of $Y_n^{>}(k)$, while the image consists of elements satisfying an additional wheel condition related to the characteristic $p$, thus providing a shuffle algebra realization of the restricted Yangian $Y_n^{>,[p]}$. The proof relies on the specialization maps approach and the construction of the small Yangian $\bar{y}^{>}_n(k)$, obtained by the reduction modulo $p$ method from an integral form $\mathbf{Y}_n^>$ of the Yangian $Y_n^{>}$ associated to $\mathfrak{sl}_n$ over $\mathbb{C}$. This is a joint work with Hongmei Hu and Yue Hu.
邀请人：吕仁才